Question

This table displays the height of water as a pool is being

filled
Use the table to interpret the rate of change.
What is the change for each consecutive input?
What is the change for each consecutive output?
What is the rate of change for the relationship?​

Answer 1

What is the change for each consecutive input? 1

What is the change for each consecutive output? 0.35

What is the rate of change for the relationship? 0.35

Explanation:

To find the consecutive input you subtract the 11-10=1 since they are the first two numbers that are on the graph. To consecutive output you subtract the first two numbers on the graph for the y axis which is 4.1-3.75=0.35. To find the change of rate for the relationship you divide the answers from the output and the input you first divide the output and the input so you would get the answer 0.35.

Answer 2

+1 for each consecutive input; +0.35 for every consecutive output; rate of change: 7/20

Explanation:

To find the change for the consecutive inputs and outputs, just subtract two numbers that are consecutive. So for example, subtract 11-10 to get a change of 1. You know it's positive because the number is increasing from 10 to 11 in the chart. Do the same thing for the outputs and you get 0.35.

the rate of change is 7/20 because it is the change in the output or y-values over the change in the inputs or x-values. Since we already know this as 0.35 and 1 respectively, we can put this as 0.35/1 or in simpler terms, 7/20.